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Finding the Fourth Proportional to 203,501.59, 305,210.77 and 77,098.26

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Solution

The fourth proportional to 203,501.59, 305,210.77 and 77,098.26 is: 115,631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,501.59 : 305,210.77 = 77,098.26 : x
  2. Step 2: Convert to fraction form
    203,501.59/305,210.77 = 77,098.26/x
  3. Step 3: Cross multiply
    203,501.59x = 305,210.77 × 77,098.26
  4. Step 4: Simplify right side
    203,501.59x = 23,531,219,300.26
  5. Step 5: Solve for x
    x = 23,531,219,300.26/203,501.59
  6. Step 6: Final answer
    x = 115,631.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.